W. Lang, Oct 10 2007 a(n,m) tabl head (triangle) for A134134 (called S2'(2)) Obtained after summing the partition array A134133 over the numbers with fixed m (part number). n\m 1 2 3 4 5 6 7 8 9 10 ... 1 1 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 3 6 2 1 0 0 0 0 0 0 0 4 24 10 2 1 0 0 0 0 0 0 5 120 36 10 2 1 0 0 0 0 0 6 720 204 44 10 2 1 0 0 0 0 7 5040 1104 228 44 10 2 1 0 0 0 8 40320 7776 1272 244 44 10 2 1 0 0 9 362880 57600 8760 1320 244 44 10 2 1 0 10 3628800 505440 63936 9096 1352 244 44 10 2 1 . . . The row sums give A077365: [1, 3, 9, 37, 169, 981, 6429, 49669, 430861, 4208925]. The alternating row sums give A134135: [1,1,5,15,93,551,4129,33607,312929,3179343,...]. ###################################### e.o.f. ###########################################